Finite Contractions of Graphs with Polynomial Growth
نویسندگان
چکیده
Let X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then there exists a quotient group of Aut(X) which contains a finitely generated nilpotent subgroup N which has the same growth rate as X. We show that X contains a subgraph which is finitely contractible onto the h-dimensional lattice, where h is the Hirsch number of N . ∗Supported by FWF (Austria) grant No. P8773 and OTKA (Hungary) T016391. This research was done while visiting the Institut für Mathematik und Angewandte Geometrie, Montanuniversität Leoben, Austria.
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عنوان ژورنال:
- Eur. J. Comb.
دوره 22 شماره
صفحات -
تاریخ انتشار 2001